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Optical Gain of Phototransistors Formula

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Optical Gain of Phototransistor is a measure of how well a medium amplifies photons by stimulated emission. Check FAQs

G O = (\frac{[hP] \cdot [c]}{λ \cdot [Charge-e]}) \cdot (\frac{I col}{P o})

G_O - Optical Gain of Phototransistor?λ - Wavelength of Light?I_col - Collector Current of Phototransistor?P_o - Incident Power?[hP] - Planck constant?[c] - Light speed in vacuum?[Charge-e] - Charge of electron?

Optical Gain of Phototransistors Example

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Here is how the Optical Gain of Phototransistors equation looks like with Values.

Here is how the Optical Gain of Phototransistors equation looks like with Units.

Here is how the Optical Gain of Phototransistors equation looks like.

2.5871 = (\frac{6.6E-34 \cdot 3E+8}{1.55 \cdot 1.6E-19}) \cdot (\frac{5.66}{1.75})

2.5871 = (\frac{6.6E-34 \cdot 3E+8m/s}{1.55μm \cdot 1.6E-19C}) \cdot (\frac{5.66µA}{1.75µW})

2.5871 = (\frac{6.6E-34 \cdot 3E+8}{1.55 \cdot 1.6E-19}) \cdot (\frac{5.66}{1.75})

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Optical Gain of Phototransistors Solution

Follow our step by step solution on how to calculate Optical Gain of Phototransistors?

FIRST Step Consider the formula

G O = (\frac{[hP] \cdot [c]}{λ \cdot [Charge-e]}) \cdot (\frac{I col}{P o})

Next Step Substitute values of Variables

∴

G O = (\frac{[hP] \cdot [c]}{1.55μm \cdot [Charge-e]}) \cdot (\frac{5.66µA}{1.75µW})

Next Step Substitute values of Constants

∴

G O = (\frac{6.6E-34 \cdot 3E+8m/s}{1.55μm \cdot 1.6E-19C}) \cdot (\frac{5.66µA}{1.75µW})

Next Step Convert Units

∴

G O = (\frac{6.6E-34 \cdot 3E+8m/s}{1.6E-6m \cdot 1.6E-19C}) \cdot (\frac{5.7E-6A}{1.8E-6W})

Next Step Prepare to Evaluate

∴

G O = (\frac{6.6E-34 \cdot 3E+8}{1.6E-6 \cdot 1.6E-19}) \cdot (\frac{5.7E-6}{1.8E-6})

Next Step Evaluate

∴

G O = 2.5870988299136

LAST Step Rounding Answer

∴

G O = 2.5871

Optical Gain of Phototransistors Formula Elements

Variables

Constants

Optical Gain of Phototransistor

Optical Gain of Phototransistor is a measure of how well a medium amplifies photons by stimulated emission.

Symbol: G_O

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Optical Gain of Phototransistor

Wavelength of Light

Wavelength of Light refers to the distance between two consecutive peaks or troughs of an electromagnetic wave in the optical spectrum.

Symbol: λ

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Wavelength of Light

Collector Current of Phototransistor

The Collector Current of Phototransistor is a measure of the sensitivity of the phototransistor. It describes the maximum allowable current load in the collector.

Symbol: I_col

Measurement: Electric CurrentUnit: µA

Note: Value can be positive or negative.

Formulas to find Collector Current of Phototransistor

Incident Power

Incident Power w.r.t optics is the amount of optical power (light energy) incident on the photodetector.

Symbol: P_o

Measurement: PowerUnit: µW

Note: Value should be greater than 0.

Formulas to find Incident Power

Planck constant

Planck constant is a fundamental universal constant that defines the quantum nature of energy and relates the energy of a photon to its frequency.

Symbol: [hP]

Value: 6.626070040E-34

Light speed in vacuum

Light speed in vacuum is a fundamental physical constant representing the speed at which light propagates through a vacuum.

Symbol: [c]

Value: 299792458.0 m/s

Charge of electron

Charge of electron is a fundamental physical constant, representing the electric charge carried by an electron, which is the elementary particle with a negative electric charge.

Symbol: [Charge-e]

Value: 1.60217662E-19 C

Other formulas in Optical Detectors category

Go Quantum Efficiency of Photodetector

η = \frac{N e}{N p}

Go Incident Photon Rate

R i = \frac{P i}{[hP] \cdot F i}

Go Electron Rate in Detector

R p = η \cdot R i

Go Long Wavelength Cutoff Point

λ c = [hP] \cdot \frac{[c]}{E g}

How to Evaluate Optical Gain of Phototransistors?

Optical Gain of Phototransistors evaluator uses Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power) to evaluate the Optical Gain of Phototransistor, The Optical Gain of Phototransistors refers to its efficiency in converting light into an amplified electrical signal. This gain is generated through transistor action: photogenerated excess carriers transport to the base layer and modulate its potential barrier, causing current multiplication of the majority carrier diffusing from the emitter (injector). Optical Gain of Phototransistor is denoted by G_O symbol.

How to evaluate Optical Gain of Phototransistors using this online evaluator? To use this online evaluator for Optical Gain of Phototransistors, enter Wavelength of Light (λ), Collector Current of Phototransistor (I_col) & Incident Power (P_o) and hit the calculate button.

FAQs on Optical Gain of Phototransistors

What is the formula to find Optical Gain of Phototransistors?

The formula of Optical Gain of Phototransistors is expressed as Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power). Here is an example- 2.587099 = (([hP]*[c])/(1.55E-06*[Charge-e]))*(5.66E-06/1.75E-06).

How to calculate Optical Gain of Phototransistors?

With Wavelength of Light (λ), Collector Current of Phototransistor (I_col) & Incident Power (P_o) we can find Optical Gain of Phototransistors using the formula - Optical Gain of Phototransistor = (([hP]*[c])/(Wavelength of Light*[Charge-e]))*(Collector Current of Phototransistor/Incident Power). This formula also uses Planck constant, Light speed in vacuum, Charge of electron constant(s).

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Optical Gain of Phototransistors Formula

Optical Gain of Phototransistors Example

Optical Gain of Phototransistors Solution

Optical Gain of Phototransistors Formula Elements

Other formulas in Optical Detectors category

How to Evaluate Optical Gain of Phototransistors?

FAQs on Optical Gain of Phototransistors

Variable Name